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Finding the Fourth Proportional to 2,905.40, 4,358.10 and 957.17

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Solution

The fourth proportional to 2,905.40, 4,358.10 and 957.17 is: 1,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.40 : 4,358.10 = 957.17 : x
  2. Step 2: Convert to fraction form
    2,905.40/4,358.10 = 957.17/x
  3. Step 3: Cross multiply
    2,905.40x = 4,358.10 × 957.17
  4. Step 4: Simplify right side
    2,905.40x = 4,171,442.58
  5. Step 5: Solve for x
    x = 4,171,442.58/2,905.40
  6. Step 6: Final answer
    x = 1,435.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.